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Proceedings of the Royal Society B: Biological Sciences logoLink to Proceedings of the Royal Society B: Biological Sciences
. 2002 Feb 7;269(1488):227–233. doi: 10.1098/rspb.2001.1869

On the determinants of population structure in antigenically diverse pathogens.

M Gabriela M Gomes 1, Graham F Medley 1, D James Nokes 1
PMCID: PMC1690892  PMID: 11839191

Abstract

Many pathogens exhibit antigenic diversity and elicit strain-specific immune responses. This potential for cross-immunity structure in the host resource motivates the development of mathematical models, stressing competition for susceptible hosts in driving pathogen population dynamics and genetics. Here we establish that certain model formulations exhibit characteristics of prototype pattern-forming systems, with pathogen population structure emerging as three possible patterns: (i) incidence is steady and homogeneous; (ii) incidence is steady but heterogeneous; and (iii) incidence shows oscillatory dynamics, with travelling waves in strain-space. Results are robust to strain number, but sensitive to the mechanism of cumulative immunity.

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Selected References

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  1. Andreasen V., Lin J., Levin S. A. The dynamics of cocirculating influenza strains conferring partial cross-immunity. J Math Biol. 1997 Aug;35(7):825–842. doi: 10.1007/s002850050079. [DOI] [PubMed] [Google Scholar]
  2. Ben-Jacob E., Levine H. The artistry of nature. Nature. 2001 Feb 22;409(6823):985–986. doi: 10.1038/35059178. [DOI] [PubMed] [Google Scholar]
  3. Bjørnstad O. N., Sait S. M., Stenseth N. C., Thompson D. J., Begon M. The impact of specialized enemies on the dimensionality of host dynamics. Nature. 2001 Feb 22;409(6823):1001–1006. doi: 10.1038/35059003. [DOI] [PubMed] [Google Scholar]
  4. Cooper B. S. Pathogen population dynamics: the age of the strain. Trends Microbiol. 2001 May;9(5):199–200. doi: 10.1016/s0966-842x(01)02034-0. [DOI] [PubMed] [Google Scholar]
  5. Gupta S., Ferguson N., Anderson R. Chaos, persistence, and evolution of strain structure in antigenically diverse infectious agents. Science. 1998 May 8;280(5365):912–915. doi: 10.1126/science.280.5365.912. [DOI] [PubMed] [Google Scholar]
  6. Gupta S., Maiden M. C. Exploring the evolution of diversity in pathogen populations. Trends Microbiol. 2001 Apr;9(4):181–185. doi: 10.1016/s0966-842x(01)01986-2. [DOI] [PubMed] [Google Scholar]
  7. Gupta S., Maiden M. C., Feavers I. M., Nee S., May R. M., Anderson R. M. The maintenance of strain structure in populations of recombining infectious agents. Nat Med. 1996 Apr;2(4):437–442. doi: 10.1038/nm0496-437. [DOI] [PubMed] [Google Scholar]
  8. Gupta S., Swinton J., Anderson R. M. Theoretical studies of the effects of heterogeneity in the parasite population on the transmission dynamics of malaria. Proc Biol Sci. 1994 Jun 22;256(1347):231–238. doi: 10.1098/rspb.1994.0075. [DOI] [PubMed] [Google Scholar]
  9. Gupta S., Trenholme K., Anderson R. M., Day K. P. Antigenic diversity and the transmission dynamics of Plasmodium falciparum. Science. 1994 Feb 18;263(5149):961–963. doi: 10.1126/science.8310293. [DOI] [PubMed] [Google Scholar]
  10. May R. M., Anderson R. M. Epidemiology and genetics in the coevolution of parasites and hosts. Proc R Soc Lond B Biol Sci. 1983 Oct 22;219(1216):281–313. doi: 10.1098/rspb.1983.0075. [DOI] [PubMed] [Google Scholar]
  11. May R. M., Nowak M. A. Coinfection and the evolution of parasite virulence. Proc Biol Sci. 1995 Aug 22;261(1361):209–215. doi: 10.1098/rspb.1995.0138. [DOI] [PubMed] [Google Scholar]
  12. McLean A. R. Vaccination, evolution and changes in the efficacy of vaccines: a theoretical framework. Proc Biol Sci. 1995 Sep 22;261(1362):389–393. doi: 10.1098/rspb.1995.0164. [DOI] [PubMed] [Google Scholar]
  13. Rima B. K., Earle J. A., Baczko K., Rota P. A., Bellini W. J. Measles virus strain variations. Curr Top Microbiol Immunol. 1995;191:65–83. doi: 10.1007/978-3-642-78621-1_5. [DOI] [PubMed] [Google Scholar]
  14. Sait S. M., Liu W. C., Thompson D. J., Godfray H. C., Begon M. Invasion sequence affects predator-prey dynamics in a multi-species interaction. Nature. 2000 May 25;405(6785):448–450. doi: 10.1038/35013045. [DOI] [PubMed] [Google Scholar]
  15. White L. J., Cox M. J., Medley G. F. Cross immunity and vaccination against multiple microparasite strains. IMA J Math Appl Med Biol. 1998 Sep;15(3):211–233. [PubMed] [Google Scholar]

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